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积分 d{x}:
积分 2xy
积分 ln(y)
积分 xy^2
积分 e^(x-y)
关于…的二重积分:
2xy
标准形:
2xy
2xy
等价表达式
2xy
2xydx
相似表达式
2*x*y-7cos(y)dy
(3*x*y+y^2)*d*x+(x^3+2*x*y)*d*y

积分求解/ 2xy

积分 2xy dx

解答

You have entered [src]

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 |  2*x*y dx
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0

$$\int\limits_{0}^{1} 2 x y\, dx$$

Simplify

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 2 x y\, dx = 2 y \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $x^{2} y$
Add the constant of integration:

$x^{2} y+ \mathrm{constant}$

The answer is:

$x^{2} y+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | 2*x*y dx = C + y*x 
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$$x^2\,y$$

Simplify

The answer [src]

$$y$$

=

$$y$$

Simplify

这些示例也可用于输入定积分的上下限.